Spin(7) holonomy manifold and superconnection
Yukinori Yasui; Takayoshi Ootsuka; Yukinori Yasui; Department of Physics, Osaka City University, Sumiyoshiku, Osaka, Japan; Takayoshi Ootsuka; Department of Physics, Osaka City University, Sumiyoshiku, Osaka, Japan
Журнал:
Classical and Quantum Gravity
Дата:
2001-03-07
Аннотация:
We discuss the higher-dimensional generalization of gravitational instantons by using volume-preserving vector fields. We give special attention to the case of eight dimensions and present a new construction of the Ricci-flat metric with holonomy in Spin(7). An example of the metric is explicitly given. Furthermore, it is shown that our formulation has a natural interpretation in the Chern-Simons theory written by the language of superconnections.
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